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theorem proved term proof

ontological_exclusion_of_realizable

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formal statement (Lean)

 565theorem ontological_exclusion_of_realizable (sensor : DefectSensor)
 566    [PhysicallyRealizableLedger sensor] [DivergenceWitnessesBoundary sensor] :
 567    EulerTraceAdmissible sensor → ¬ CostDivergent sensor := by

proof body

Term-mode proof.

 568  intro hadm hdiv
 569  have hboundary : BoundaryApproaching sensor :=
 570    DivergenceWitnessesBoundary.toBoundary (sensor := sensor) hadm hdiv
 571  exact physicallyRealizableLedger_not_boundaryApproaching sensor hboundary
 572
 573/-- **Ontological Exclusion Principle.**
 574
 575For the Euler carrier, admissibility plus the boundary-transport bridge imply
 576that cost divergence is impossible.  This theorem replaces the old axiom of
 577the same name. -/

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